F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions

Abstract

We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8xE8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the Calabi-Yau is an elliptic fibration over a blow up of the Hirzebruch surface F_n. We find that in most cases the fan of the base of the elliptic fibration is visible in the dual polyhedron of the Calabi-Yau, and that the extra tensor multiplets are represented as points corresponding to the blow-ups of the F_n.

24 pages, LaTex, no figures. Significant errors corrected, leading to a modification of some of our conclusions. References added

References in corpus (13)

• Exact Results for N=2 Compactifications of Heterotic Strings
• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• K3--Fibrations and Heterotic-Type II String Duality
• Second-Quantized Mirror Symmetry
• On the Ubiquity of K3 Fibrations in String Duality
• N=2 Type II- Heterotic duality and Higher derivative F-terms
• Aspects of Duality in N=2 String Vacua
• Chains of N=2, D=4 heterotic/type II duals
• Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory
• Enhanced Gauge Symmetries and Calabi-Yau Threefolds
• String-dual $F_1$-Function in the Three Parameter Model
• Non-perturbative monodromies in N=2 heterotic string vacua
• A Note on the String Analog of $N=2$ Super-Symmetric Yang-Mills

Cited by in corpus (9)

• Brane Tilings and Reflexive Polygons
• The twelve dimensional super (2+2)-brane
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Toric Elliptic Fibrations and F-Theory Compactifications
• On the Complementarity of F-theory, Orientifolds, and Heterotic Strings
• Comments on A,B,C Chains of Heterotic and Type II Vacua
• String Dualities and Toric Geometry: An Introduction
• Puzzles on the Duality between Heterotic and Type IIA Strings
• Affine Kac-Moody algebras, CHL strings and the classification of tops